x2=144/225

Solution for x2=144/225 equation:

x2=144/225

We move all terms to the left:

x2-(144/225)=0

We add all the numbers together, and all the variables

x2-(+144/225)=0

We add all the numbers together, and all the variables

x^2-(+144/225)=0

We get rid of parentheses

x^2-144/225=0

We multiply all the terms by the denominator


x^2*225-144=0

Wy multiply elements

225x^2-144=0

a = 225; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·225·(-144)
Δ = 129600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{129600}=360$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-360}{2*225}=\frac{-360}{450}
=-4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+360}{2*225}=\frac{360}{450}
=4/5
$